What is the Least Common Multiple of 61008 and 61026?

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 61008 and 61026 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 61008 and 61026, than apply into the LCM equation.

GCF(61008,61026) = 6
LCM(61008,61026) = ( 61008 × 61026) / 6
LCM(61008,61026) = 3723074208 / 6
LCM(61008,61026) = 620512368

Least Common Multiple (LCM) of 61008 and 61026 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 61008 and 61026. First we will calculate the prime factors of 61008 and 61026.

Prime Factorization of 61008

Prime Factorization of 61026

Now multiplying the highest exponent prime factors to calculate the LCM of 61008 and 61026.

LCM(61008,61026) = 2⁴ × 3¹ × 31¹ × 41¹ × 7¹ × 1453¹
LCM(61008,61026) = 620512368