What is the Least Common Multiple of 89754 and 89763?

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 89754 and 89763 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 89754 and 89763, than apply into the LCM equation.

GCF(89754,89763) = 3
LCM(89754,89763) = ( 89754 × 89763) / 3
LCM(89754,89763) = 8056588302 / 3
LCM(89754,89763) = 2685529434

Least Common Multiple (LCM) of 89754 and 89763 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 89754 and 89763. First we will calculate the prime factors of 89754 and 89763.

Prime Factorization of 89754

Prime Factorization of 89763

Now multiplying the highest exponent prime factors to calculate the LCM of 89754 and 89763.

LCM(89754,89763) = 2¹ × 3¹ × 7¹ × 2137¹ × 29921¹
LCM(89754,89763) = 2685529434