What is the Least Common Multiple of 62520 and 62538?

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 62520 and 62538 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 62520 and 62538, than apply into the LCM equation.

GCF(62520,62538) = 6
LCM(62520,62538) = ( 62520 × 62538) / 6
LCM(62520,62538) = 3909875760 / 6
LCM(62520,62538) = 651645960

Least Common Multiple (LCM) of 62520 and 62538 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 62520 and 62538. First we will calculate the prime factors of 62520 and 62538.

Prime Factorization of 62520

Prime Factorization of 62538

Now multiplying the highest exponent prime factors to calculate the LCM of 62520 and 62538.

LCM(62520,62538) = 2³ × 3¹ × 5¹ × 521¹ × 7¹ × 1489¹
LCM(62520,62538) = 651645960