What is the Least Common Multiple of 60220 and 60239?

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 60220 and 60239 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 60220 and 60239, than apply into the LCM equation.

GCF(60220,60239) = 1
LCM(60220,60239) = ( 60220 × 60239) / 1
LCM(60220,60239) = 3627592580 / 1
LCM(60220,60239) = 3627592580

Least Common Multiple (LCM) of 60220 and 60239 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 60220 and 60239. First we will calculate the prime factors of 60220 and 60239.

Prime Factorization of 60220

Prime Factorization of 60239

Now multiplying the highest exponent prime factors to calculate the LCM of 60220 and 60239.

LCM(60220,60239) = 2² × 5¹ × 3011¹ × 59¹ × 1021¹
LCM(60220,60239) = 3627592580