GCF and LCM Calculator Logo

What is the Least Common Multiple of 60222 and 60235?

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 (LCM) of 60222 and 60235 is 3627472170.

LCM(60222,60235) = 3627472170

LCM Calculator and
and

Least Common Multiple of 60222 and 60235 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 60222 and 60235, than apply into the LCM equation.

GCF(60222,60235) = 1
LCM(60222,60235) = ( 60222 × 60235) / 1
LCM(60222,60235) = 3627472170 / 1
LCM(60222,60235) = 3627472170

Least Common Multiple (LCM) of 60222 and 60235 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 60222 and 60235. First we will calculate the prime factors of 60222 and 60235.

Prime Factorization of 60222

Prime factors of 60222 are 2, 3, 10037. Prime factorization of 60222 in exponential form is:

60222 = 21 × 31 × 100371

Prime Factorization of 60235

Prime factors of 60235 are 5, 7, 1721. Prime factorization of 60235 in exponential form is:

60235 = 51 × 71 × 17211

Now multiplying the highest exponent prime factors to calculate the LCM of 60222 and 60235.

LCM(60222,60235) = 21 × 31 × 100371 × 51 × 71 × 17211
LCM(60222,60235) = 3627472170