What is the Least Common Multiple of 61578 and 61590?

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 61578 and 61590 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 61578 and 61590, than apply into the LCM equation.

GCF(61578,61590) = 6
LCM(61578,61590) = ( 61578 × 61590) / 6
LCM(61578,61590) = 3792589020 / 6
LCM(61578,61590) = 632098170

Least Common Multiple (LCM) of 61578 and 61590 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 61578 and 61590. First we will calculate the prime factors of 61578 and 61590.

Prime Factorization of 61578

Prime Factorization of 61590

Now multiplying the highest exponent prime factors to calculate the LCM of 61578 and 61590.

LCM(61578,61590) = 2¹ × 3² × 11¹ × 311¹ × 5¹ × 2053¹
LCM(61578,61590) = 632098170