What is the Least Common Multiple of 738 and 746?
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 738 and 746 is 275274.
LCM(738,746) = 275274
Least Common Multiple of 738 and 746 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 738 and 746, than apply into the LCM equation.
GCF(738,746) = 2
LCM(738,746) = ( 738 × 746) / 2
LCM(738,746) = 550548 / 2
LCM(738,746) = 275274
Least Common Multiple (LCM) of 738 and 746 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 738 and 746. First we will calculate the prime factors of 738 and 746.
Prime Factorization of 738
Prime factors of 738 are 2, 3, 41. Prime factorization of 738 in exponential form is:
738 = 21 × 32 × 411
Prime Factorization of 746
Prime factors of 746 are 2, 373. Prime factorization of 746 in exponential form is:
746 = 21 × 3731
Now multiplying the highest exponent prime factors to calculate the LCM of 738 and 746.
LCM(738,746) = 21 × 32 × 411 × 3731
LCM(738,746) = 275274
Related Least Common Multiples of 738
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- LCM of 738 and 747
- LCM of 738 and 748
- LCM of 738 and 749
- LCM of 738 and 750
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Related Least Common Multiples of 746
- LCM of 746 and 750
- LCM of 746 and 751
- LCM of 746 and 752
- LCM of 746 and 753
- LCM of 746 and 754
- LCM of 746 and 755
- LCM of 746 and 756
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- LCM of 746 and 758
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- LCM of 746 and 760
- LCM of 746 and 761
- LCM of 746 and 762
- LCM of 746 and 763
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- LCM of 746 and 766