What is the Least Common Multiple of 62520 and 62535?

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 62535 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 62535, than apply into the LCM equation.

GCF(62520,62535) = 15
LCM(62520,62535) = ( 62520 × 62535) / 15
LCM(62520,62535) = 3909688200 / 15
LCM(62520,62535) = 260645880

Least Common Multiple (LCM) of 62520 and 62535 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 62520 and 62535. First we will calculate the prime factors of 62520 and 62535.

Prime Factorization of 62520

Prime Factorization of 62535

Now multiplying the highest exponent prime factors to calculate the LCM of 62520 and 62535.

LCM(62520,62535) = 2³ × 3¹ × 5¹ × 521¹ × 11¹ × 379¹
LCM(62520,62535) = 260645880