What is the Least Common Multiple of 45684 and 45703?

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 45684 and 45703 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 45684 and 45703, than apply into the LCM equation.

GCF(45684,45703) = 1
LCM(45684,45703) = ( 45684 × 45703) / 1
LCM(45684,45703) = 2087895852 / 1
LCM(45684,45703) = 2087895852

Least Common Multiple (LCM) of 45684 and 45703 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 45684 and 45703. First we will calculate the prime factors of 45684 and 45703.

Prime Factorization of 45684

Prime Factorization of 45703

Now multiplying the highest exponent prime factors to calculate the LCM of 45684 and 45703.

LCM(45684,45703) = 2² × 3⁵ × 47¹ × 7¹ × 6529¹
LCM(45684,45703) = 2087895852