What is the Least Common Multiple of 61590 and 61598?

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 61598 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 61598, than apply into the LCM equation.

GCF(61590,61598) = 2
LCM(61590,61598) = ( 61590 × 61598) / 2
LCM(61590,61598) = 3793820820 / 2
LCM(61590,61598) = 1896910410

Least Common Multiple (LCM) of 61590 and 61598 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 61590 and 61598. First we will calculate the prime factors of 61590 and 61598.

Prime Factorization of 61590

Prime Factorization of 61598

Now multiplying the highest exponent prime factors to calculate the LCM of 61590 and 61598.

LCM(61590,61598) = 2¹ × 3¹ × 5¹ × 2053¹ × 19¹ × 1621¹
LCM(61590,61598) = 1896910410