What is the Least Common Multiple of 60180 and 60192?

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 60180 and 60192 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 60180 and 60192, than apply into the LCM equation.

GCF(60180,60192) = 12
LCM(60180,60192) = ( 60180 × 60192) / 12
LCM(60180,60192) = 3622354560 / 12
LCM(60180,60192) = 301862880

Least Common Multiple (LCM) of 60180 and 60192 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 60180 and 60192. First we will calculate the prime factors of 60180 and 60192.

Prime Factorization of 60180

Prime Factorization of 60192

Now multiplying the highest exponent prime factors to calculate the LCM of 60180 and 60192.

LCM(60180,60192) = 2⁵ × 3² × 5¹ × 17¹ × 59¹ × 11¹ × 19¹
LCM(60180,60192) = 301862880