What is the Least Common Multiple of 45646 and 45662?

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 45646 and 45662 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 45646 and 45662, than apply into the LCM equation.

GCF(45646,45662) = 2
LCM(45646,45662) = ( 45646 × 45662) / 2
LCM(45646,45662) = 2084287652 / 2
LCM(45646,45662) = 1042143826

Least Common Multiple (LCM) of 45646 and 45662 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 45646 and 45662. First we will calculate the prime factors of 45646 and 45662.

Prime Factorization of 45646

Prime Factorization of 45662

Now multiplying the highest exponent prime factors to calculate the LCM of 45646 and 45662.

LCM(45646,45662) = 2¹ × 29¹ × 787¹ × 17² × 79¹
LCM(45646,45662) = 1042143826