What is the Least Common Multiple of 89476 and 89492?

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 89476 and 89492 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 89476 and 89492, than apply into the LCM equation.

GCF(89476,89492) = 4
LCM(89476,89492) = ( 89476 × 89492) / 4
LCM(89476,89492) = 8007386192 / 4
LCM(89476,89492) = 2001846548

Least Common Multiple (LCM) of 89476 and 89492 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 89476 and 89492. First we will calculate the prime factors of 89476 and 89492.

Prime Factorization of 89476

Prime Factorization of 89492

Now multiplying the highest exponent prime factors to calculate the LCM of 89476 and 89492.

LCM(89476,89492) = 2² × 22369¹ × 13¹ × 1721¹
LCM(89476,89492) = 2001846548