What is the Least Common Multiple of 61220 and 61238?

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 61220 and 61238 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 61220 and 61238, than apply into the LCM equation.

GCF(61220,61238) = 2
LCM(61220,61238) = ( 61220 × 61238) / 2
LCM(61220,61238) = 3748990360 / 2
LCM(61220,61238) = 1874495180

Least Common Multiple (LCM) of 61220 and 61238 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 61220 and 61238. First we will calculate the prime factors of 61220 and 61238.

Prime Factorization of 61220

Prime Factorization of 61238

Now multiplying the highest exponent prime factors to calculate the LCM of 61220 and 61238.

LCM(61220,61238) = 2² × 5¹ × 3061¹ × 67¹ × 457¹
LCM(61220,61238) = 1874495180