What is the Least Common Multiple of 89744 and 89754?

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 89744 and 89754 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 89744 and 89754, than apply into the LCM equation.

GCF(89744,89754) = 2
LCM(89744,89754) = ( 89744 × 89754) / 2
LCM(89744,89754) = 8054882976 / 2
LCM(89744,89754) = 4027441488

Least Common Multiple (LCM) of 89744 and 89754 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 89744 and 89754. First we will calculate the prime factors of 89744 and 89754.

Prime Factorization of 89744

Prime Factorization of 89754

Now multiplying the highest exponent prime factors to calculate the LCM of 89744 and 89754.

LCM(89744,89754) = 2⁴ × 71¹ × 79¹ × 3¹ × 7¹ × 2137¹
LCM(89744,89754) = 4027441488