What is the Least Common Multiple of 94738 and 94746?

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 94738 and 94746 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94738 and 94746, than apply into the LCM equation.

GCF(94738,94746) = 2
LCM(94738,94746) = ( 94738 × 94746) / 2
LCM(94738,94746) = 8976046548 / 2
LCM(94738,94746) = 4488023274

Least Common Multiple (LCM) of 94738 and 94746 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 94738 and 94746. First we will calculate the prime factors of 94738 and 94746.

Prime Factorization of 94738

Prime Factorization of 94746

Now multiplying the highest exponent prime factors to calculate the LCM of 94738 and 94746.

LCM(94738,94746) = 2¹ × 7¹ × 67¹ × 101¹ × 3¹ × 15791¹
LCM(94738,94746) = 4488023274