What is the Least Common Multiple of 747 and 766?
Least common multiple or lowest common denominator (lcd) can be calculated in two way; with the LCM formula calculation of greatest common factor (GCF), or multiplying the prime factors with the highest exponent factor.
Least common multiple (LCM) of 747 and 766 is 572202.
LCM(747,766) = 572202
Least Common Multiple of 747 and 766 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 747 and 766, than apply into the LCM equation.
GCF(747,766) = 1
LCM(747,766) = ( 747 × 766) / 1
LCM(747,766) = 572202 / 1
LCM(747,766) = 572202
Least Common Multiple (LCM) of 747 and 766 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 747 and 766. First we will calculate the prime factors of 747 and 766.
Prime Factorization of 747
Prime factors of 747 are 3, 83. Prime factorization of 747 in exponential form is:
747 = 32 × 831
Prime Factorization of 766
Prime factors of 766 are 2, 383. Prime factorization of 766 in exponential form is:
766 = 21 × 3831
Now multiplying the highest exponent prime factors to calculate the LCM of 747 and 766.
LCM(747,766) = 32 × 831 × 21 × 3831
LCM(747,766) = 572202
Related Least Common Multiples of 747
- LCM of 747 and 751
- LCM of 747 and 752
- LCM of 747 and 753
- LCM of 747 and 754
- LCM of 747 and 755
- LCM of 747 and 756
- LCM of 747 and 757
- LCM of 747 and 758
- LCM of 747 and 759
- LCM of 747 and 760
- LCM of 747 and 761
- LCM of 747 and 762
- LCM of 747 and 763
- LCM of 747 and 764
- LCM of 747 and 765
- LCM of 747 and 766
- LCM of 747 and 767
Related Least Common Multiples of 766
- LCM of 766 and 770
- LCM of 766 and 771
- LCM of 766 and 772
- LCM of 766 and 773
- LCM of 766 and 774
- LCM of 766 and 775
- LCM of 766 and 776
- LCM of 766 and 777
- LCM of 766 and 778
- LCM of 766 and 779
- LCM of 766 and 780
- LCM of 766 and 781
- LCM of 766 and 782
- LCM of 766 and 783
- LCM of 766 and 784
- LCM of 766 and 785
- LCM of 766 and 786