What is the Least Common Multiple of 742 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 742 and 746 is 276766.
LCM(742,746) = 276766
Least Common Multiple of 742 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 742 and 746, than apply into the LCM equation.
GCF(742,746) = 2
LCM(742,746) = ( 742 × 746) / 2
LCM(742,746) = 553532 / 2
LCM(742,746) = 276766
Least Common Multiple (LCM) of 742 and 746 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 742 and 746. First we will calculate the prime factors of 742 and 746.
Prime Factorization of 742
Prime factors of 742 are 2, 7, 53. Prime factorization of 742 in exponential form is:
742 = 21 × 71 × 531
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 742 and 746.
LCM(742,746) = 21 × 71 × 531 × 3731
LCM(742,746) = 276766
Related Least Common Multiples of 742
- LCM of 742 and 746
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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
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- LCM of 746 and 766