What is the Least Common Multiple of 66488 and 66494?

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 66488 and 66494 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 66488 and 66494, than apply into the LCM equation.

GCF(66488,66494) = 2
LCM(66488,66494) = ( 66488 × 66494) / 2
LCM(66488,66494) = 4421053072 / 2
LCM(66488,66494) = 2210526536

Least Common Multiple (LCM) of 66488 and 66494 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 66488 and 66494. First we will calculate the prime factors of 66488 and 66494.

Prime Factorization of 66488

Prime Factorization of 66494

Now multiplying the highest exponent prime factors to calculate the LCM of 66488 and 66494.

LCM(66488,66494) = 2³ × 8311¹ × 33247¹
LCM(66488,66494) = 2210526536