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What is the Least Common Multiple of 767 and 772?

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 767 and 772 is 592124.

LCM(767,772) = 592124

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Least Common Multiple of 767 and 772 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 767 and 772, than apply into the LCM equation.

GCF(767,772) = 1
LCM(767,772) = ( 767 × 772) / 1
LCM(767,772) = 592124 / 1
LCM(767,772) = 592124

Least Common Multiple (LCM) of 767 and 772 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 767 and 772. First we will calculate the prime factors of 767 and 772.

Prime Factorization of 767

Prime factors of 767 are 13, 59. Prime factorization of 767 in exponential form is:

767 = 131 × 591

Prime Factorization of 772

Prime factors of 772 are 2, 193. Prime factorization of 772 in exponential form is:

772 = 22 × 1931

Now multiplying the highest exponent prime factors to calculate the LCM of 767 and 772.

LCM(767,772) = 131 × 591 × 22 × 1931
LCM(767,772) = 592124