What is the Least Common Multiple of 60270 and 60290?

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 60270 and 60290 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 60270 and 60290, than apply into the LCM equation.

GCF(60270,60290) = 10
LCM(60270,60290) = ( 60270 × 60290) / 10
LCM(60270,60290) = 3633678300 / 10
LCM(60270,60290) = 363367830

Least Common Multiple (LCM) of 60270 and 60290 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 60270 and 60290. First we will calculate the prime factors of 60270 and 60290.

Prime Factorization of 60270

Prime Factorization of 60290

Now multiplying the highest exponent prime factors to calculate the LCM of 60270 and 60290.

LCM(60270,60290) = 2¹ × 3¹ × 5¹ × 7² × 41¹ × 6029¹
LCM(60270,60290) = 363367830