What is the Least Common Multiple of 89655 and 89674?

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 89655 and 89674 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 89655 and 89674, than apply into the LCM equation.

GCF(89655,89674) = 1
LCM(89655,89674) = ( 89655 × 89674) / 1
LCM(89655,89674) = 8039722470 / 1
LCM(89655,89674) = 8039722470

Least Common Multiple (LCM) of 89655 and 89674 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 89655 and 89674. First we will calculate the prime factors of 89655 and 89674.

Prime Factorization of 89655

Prime Factorization of 89674

Now multiplying the highest exponent prime factors to calculate the LCM of 89655 and 89674.

LCM(89655,89674) = 3¹ × 5¹ × 43¹ × 139¹ × 2¹ × 13¹ × 3449¹
LCM(89655,89674) = 8039722470