What is the Least Common Multiple of 62240 and 62252?

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 62240 and 62252 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 62240 and 62252, than apply into the LCM equation.

GCF(62240,62252) = 4
LCM(62240,62252) = ( 62240 × 62252) / 4
LCM(62240,62252) = 3874564480 / 4
LCM(62240,62252) = 968641120

Least Common Multiple (LCM) of 62240 and 62252 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 62240 and 62252. First we will calculate the prime factors of 62240 and 62252.

Prime Factorization of 62240

Prime Factorization of 62252

Now multiplying the highest exponent prime factors to calculate the LCM of 62240 and 62252.

LCM(62240,62252) = 2⁵ × 5¹ × 389¹ × 79¹ × 197¹
LCM(62240,62252) = 968641120