What is the Least Common Multiple of 71757 and 71772?

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 71757 and 71772 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 71757 and 71772, than apply into the LCM equation.

GCF(71757,71772) = 3
LCM(71757,71772) = ( 71757 × 71772) / 3
LCM(71757,71772) = 5150143404 / 3
LCM(71757,71772) = 1716714468

Least Common Multiple (LCM) of 71757 and 71772 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 71757 and 71772. First we will calculate the prime factors of 71757 and 71772.

Prime Factorization of 71757

Prime Factorization of 71772

Now multiplying the highest exponent prime factors to calculate the LCM of 71757 and 71772.

LCM(71757,71772) = 3² × 7¹ × 17¹ × 67¹ × 2² × 5981¹
LCM(71757,71772) = 1716714468