What is the Least Common Multiple of 89374 and 89380?

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 89374 and 89380 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 89374 and 89380, than apply into the LCM equation.

GCF(89374,89380) = 2
LCM(89374,89380) = ( 89374 × 89380) / 2
LCM(89374,89380) = 7988248120 / 2
LCM(89374,89380) = 3994124060

Least Common Multiple (LCM) of 89374 and 89380 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 89374 and 89380. First we will calculate the prime factors of 89374 and 89380.

Prime Factorization of 89374

Prime Factorization of 89380

Now multiplying the highest exponent prime factors to calculate the LCM of 89374 and 89380.

LCM(89374,89380) = 2² × 44687¹ × 5¹ × 41¹ × 109¹
LCM(89374,89380) = 3994124060