What is the Least Common Multiple of 62144 and 62160?

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 62144 and 62160 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 62144 and 62160, than apply into the LCM equation.

GCF(62144,62160) = 16
LCM(62144,62160) = ( 62144 × 62160) / 16
LCM(62144,62160) = 3862871040 / 16
LCM(62144,62160) = 241429440

Least Common Multiple (LCM) of 62144 and 62160 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 62144 and 62160. First we will calculate the prime factors of 62144 and 62160.

Prime Factorization of 62144

Prime Factorization of 62160

Now multiplying the highest exponent prime factors to calculate the LCM of 62144 and 62160.

LCM(62144,62160) = 2⁶ × 971¹ × 3¹ × 5¹ × 7¹ × 37¹
LCM(62144,62160) = 241429440