What is the Least Common Multiple of 61590 and 61597?

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 61590 and 61597 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 61590 and 61597, than apply into the LCM equation.

GCF(61590,61597) = 1
LCM(61590,61597) = ( 61590 × 61597) / 1
LCM(61590,61597) = 3793759230 / 1
LCM(61590,61597) = 3793759230

Least Common Multiple (LCM) of 61590 and 61597 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 61590 and 61597. First we will calculate the prime factors of 61590 and 61597.

Prime Factorization of 61590

Prime Factorization of 61597

Now multiplying the highest exponent prime factors to calculate the LCM of 61590 and 61597.

LCM(61590,61597) = 2¹ × 3¹ × 5¹ × 2053¹ × 31¹ × 1987¹
LCM(61590,61597) = 3793759230