What is the Least Common Multiple of 89440 and 89458?

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 89440 and 89458 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 89440 and 89458, than apply into the LCM equation.

GCF(89440,89458) = 2
LCM(89440,89458) = ( 89440 × 89458) / 2
LCM(89440,89458) = 8001123520 / 2
LCM(89440,89458) = 4000561760

Least Common Multiple (LCM) of 89440 and 89458 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 89440 and 89458. First we will calculate the prime factors of 89440 and 89458.

Prime Factorization of 89440

Prime Factorization of 89458

Now multiplying the highest exponent prime factors to calculate the LCM of 89440 and 89458.

LCM(89440,89458) = 2⁵ × 5¹ × 13¹ × 43¹ × 44729¹
LCM(89440,89458) = 4000561760