What is the Least Common Multiple of 45662 and 45667?

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 45662 and 45667 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 45662 and 45667, than apply into the LCM equation.

GCF(45662,45667) = 1
LCM(45662,45667) = ( 45662 × 45667) / 1
LCM(45662,45667) = 2085246554 / 1
LCM(45662,45667) = 2085246554

Least Common Multiple (LCM) of 45662 and 45667 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 45662 and 45667. First we will calculate the prime factors of 45662 and 45667.

Prime Factorization of 45662

Prime Factorization of 45667

Now multiplying the highest exponent prime factors to calculate the LCM of 45662 and 45667.

LCM(45662,45667) = 2¹ × 17² × 79¹ × 45667¹
LCM(45662,45667) = 2085246554