What is the Least Common Multiple of 89970 and 89983?

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 89970 and 89983 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 89970 and 89983, than apply into the LCM equation.

GCF(89970,89983) = 1
LCM(89970,89983) = ( 89970 × 89983) / 1
LCM(89970,89983) = 8095770510 / 1
LCM(89970,89983) = 8095770510

Least Common Multiple (LCM) of 89970 and 89983 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 89970 and 89983. First we will calculate the prime factors of 89970 and 89983.

Prime Factorization of 89970

Prime Factorization of 89983

Now multiplying the highest exponent prime factors to calculate the LCM of 89970 and 89983.

LCM(89970,89983) = 2¹ × 3¹ × 5¹ × 2999¹ × 89983¹
LCM(89970,89983) = 8095770510