What is the Least Common Multiple of 61370 and 61387?

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 61370 and 61387 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 61370 and 61387, than apply into the LCM equation.

GCF(61370,61387) = 17
LCM(61370,61387) = ( 61370 × 61387) / 17
LCM(61370,61387) = 3767320190 / 17
LCM(61370,61387) = 221607070

Least Common Multiple (LCM) of 61370 and 61387 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 61370 and 61387. First we will calculate the prime factors of 61370 and 61387.

Prime Factorization of 61370

Prime Factorization of 61387

Now multiplying the highest exponent prime factors to calculate the LCM of 61370 and 61387.

LCM(61370,61387) = 2¹ × 5¹ × 17¹ × 19² × 23¹ × 157¹
LCM(61370,61387) = 221607070