What is the Least Common Multiple of 62475 and 62480?

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 62475 and 62480 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 62475 and 62480, than apply into the LCM equation.

GCF(62475,62480) = 5
LCM(62475,62480) = ( 62475 × 62480) / 5
LCM(62475,62480) = 3903438000 / 5
LCM(62475,62480) = 780687600

Least Common Multiple (LCM) of 62475 and 62480 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 62475 and 62480. First we will calculate the prime factors of 62475 and 62480.

Prime Factorization of 62475

Prime Factorization of 62480

Now multiplying the highest exponent prime factors to calculate the LCM of 62475 and 62480.

LCM(62475,62480) = 3¹ × 5² × 7² × 17¹ × 2⁴ × 11¹ × 71¹
LCM(62475,62480) = 780687600