What is the Least Common Multiple of 77656 and 77674?

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 of 77656 and 77674 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 77656 and 77674, than apply into the LCM equation.

GCF(77656,77674) = 2
LCM(77656,77674) = ( 77656 × 77674) / 2
LCM(77656,77674) = 6031852144 / 2
LCM(77656,77674) = 3015926072

Least Common Multiple (LCM) of 77656 and 77674 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 77656 and 77674. First we will calculate the prime factors of 77656 and 77674.

Prime Factorization of 77656

Prime Factorization of 77674

Now multiplying the highest exponent prime factors to calculate the LCM of 77656 and 77674.

LCM(77656,77674) = 2³ × 17¹ × 571¹ × 71¹ × 547¹
LCM(77656,77674) = 3015926072