What is the Least Common Multiple of 61200 and 61220?

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 61200 and 61220 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 61200 and 61220, than apply into the LCM equation.

GCF(61200,61220) = 20
LCM(61200,61220) = ( 61200 × 61220) / 20
LCM(61200,61220) = 3746664000 / 20
LCM(61200,61220) = 187333200

Least Common Multiple (LCM) of 61200 and 61220 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 61200 and 61220. First we will calculate the prime factors of 61200 and 61220.

Prime Factorization of 61200

Prime Factorization of 61220

Now multiplying the highest exponent prime factors to calculate the LCM of 61200 and 61220.

LCM(61200,61220) = 2⁴ × 3² × 5² × 17¹ × 3061¹
LCM(61200,61220) = 187333200