What is the Least Common Multiple of 89488 and 89495?

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 89488 and 89495 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 89488 and 89495, than apply into the LCM equation.

GCF(89488,89495) = 7
LCM(89488,89495) = ( 89488 × 89495) / 7
LCM(89488,89495) = 8008728560 / 7
LCM(89488,89495) = 1144104080

Least Common Multiple (LCM) of 89488 and 89495 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 89488 and 89495. First we will calculate the prime factors of 89488 and 89495.

Prime Factorization of 89488

Prime Factorization of 89495

Now multiplying the highest exponent prime factors to calculate the LCM of 89488 and 89495.

LCM(89488,89495) = 2⁴ × 7¹ × 17¹ × 47¹ × 5¹ × 2557¹
LCM(89488,89495) = 1144104080