What is the Least Common Multiple of 44634 and 44651?

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 44634 and 44651 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 44634 and 44651, than apply into the LCM equation.

GCF(44634,44651) = 1
LCM(44634,44651) = ( 44634 × 44651) / 1
LCM(44634,44651) = 1992952734 / 1
LCM(44634,44651) = 1992952734

Least Common Multiple (LCM) of 44634 and 44651 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 44634 and 44651. First we will calculate the prime factors of 44634 and 44651.

Prime Factorization of 44634

Prime Factorization of 44651

Now multiplying the highest exponent prime factors to calculate the LCM of 44634 and 44651.

LCM(44634,44651) = 2¹ × 3¹ × 43¹ × 173¹ × 44651¹
LCM(44634,44651) = 1992952734