What is the Least Common Multiple of 62609 and 62624?

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 62609 and 62624 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 62609 and 62624, than apply into the LCM equation.

GCF(62609,62624) = 1
LCM(62609,62624) = ( 62609 × 62624) / 1
LCM(62609,62624) = 3920826016 / 1
LCM(62609,62624) = 3920826016

Least Common Multiple (LCM) of 62609 and 62624 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 62609 and 62624. First we will calculate the prime factors of 62609 and 62624.

Prime Factorization of 62609

Prime Factorization of 62624

Now multiplying the highest exponent prime factors to calculate the LCM of 62609 and 62624.

LCM(62609,62624) = 137¹ × 457¹ × 2⁵ × 19¹ × 103¹
LCM(62609,62624) = 3920826016