What is the Least Common Multiple of 77596 and 77614?

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 77596 and 77614 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 77596 and 77614, than apply into the LCM equation.

GCF(77596,77614) = 2
LCM(77596,77614) = ( 77596 × 77614) / 2
LCM(77596,77614) = 6022535944 / 2
LCM(77596,77614) = 3011267972

Least Common Multiple (LCM) of 77596 and 77614 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 77596 and 77614. First we will calculate the prime factors of 77596 and 77614.

Prime Factorization of 77596

Prime Factorization of 77614

Now multiplying the highest exponent prime factors to calculate the LCM of 77596 and 77614.

LCM(77596,77614) = 2² × 19¹ × 1021¹ × 151¹ × 257¹
LCM(77596,77614) = 3011267972