What is the Least Common Multiple of 62460 and 62468?

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 62460 and 62468 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 62460 and 62468, than apply into the LCM equation.

GCF(62460,62468) = 4
LCM(62460,62468) = ( 62460 × 62468) / 4
LCM(62460,62468) = 3901751280 / 4
LCM(62460,62468) = 975437820

Least Common Multiple (LCM) of 62460 and 62468 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 62460 and 62468. First we will calculate the prime factors of 62460 and 62468.

Prime Factorization of 62460

Prime Factorization of 62468

Now multiplying the highest exponent prime factors to calculate the LCM of 62460 and 62468.

LCM(62460,62468) = 2² × 3² × 5¹ × 347¹ × 7¹ × 23¹ × 97¹
LCM(62460,62468) = 975437820