What is the Least Common Multiple of 51478 and 51494?

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 51478 and 51494 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 51478 and 51494, than apply into the LCM equation.

GCF(51478,51494) = 2
LCM(51478,51494) = ( 51478 × 51494) / 2
LCM(51478,51494) = 2650808132 / 2
LCM(51478,51494) = 1325404066

Least Common Multiple (LCM) of 51478 and 51494 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 51478 and 51494. First we will calculate the prime factors of 51478 and 51494.

Prime Factorization of 51478

Prime Factorization of 51494

Now multiplying the highest exponent prime factors to calculate the LCM of 51478 and 51494.

LCM(51478,51494) = 2¹ × 7¹ × 3677¹ × 25747¹
LCM(51478,51494) = 1325404066