What is the Least Common Multiple of 62577 and 62591?

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 62577 and 62591 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 62577 and 62591, than apply into the LCM equation.

GCF(62577,62591) = 1
LCM(62577,62591) = ( 62577 × 62591) / 1
LCM(62577,62591) = 3916757007 / 1
LCM(62577,62591) = 3916757007

Least Common Multiple (LCM) of 62577 and 62591 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 62577 and 62591. First we will calculate the prime factors of 62577 and 62591.

Prime Factorization of 62577

Prime Factorization of 62591

Now multiplying the highest exponent prime factors to calculate the LCM of 62577 and 62591.

LCM(62577,62591) = 3² × 17¹ × 409¹ × 62591¹
LCM(62577,62591) = 3916757007