What is the Least Common Multiple of 61446 and 61462?

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 61446 and 61462 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 61446 and 61462, than apply into the LCM equation.

GCF(61446,61462) = 2
LCM(61446,61462) = ( 61446 × 61462) / 2
LCM(61446,61462) = 3776594052 / 2
LCM(61446,61462) = 1888297026

Least Common Multiple (LCM) of 61446 and 61462 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 61446 and 61462. First we will calculate the prime factors of 61446 and 61462.

Prime Factorization of 61446

Prime Factorization of 61462

Now multiplying the highest exponent prime factors to calculate the LCM of 61446 and 61462.

LCM(61446,61462) = 2¹ × 3¹ × 7² × 11¹ × 19¹ × 79¹ × 389¹
LCM(61446,61462) = 1888297026