What is the Least Common Multiple of 60100 and 60120?

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 60100 and 60120 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 60100 and 60120, than apply into the LCM equation.

GCF(60100,60120) = 20
LCM(60100,60120) = ( 60100 × 60120) / 20
LCM(60100,60120) = 3613212000 / 20
LCM(60100,60120) = 180660600

Least Common Multiple (LCM) of 60100 and 60120 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 60100 and 60120. First we will calculate the prime factors of 60100 and 60120.

Prime Factorization of 60100

Prime Factorization of 60120

Now multiplying the highest exponent prime factors to calculate the LCM of 60100 and 60120.

LCM(60100,60120) = 2³ × 5² × 601¹ × 3² × 167¹
LCM(60100,60120) = 180660600