What is the Least Common Multiple of 45076 and 45081?

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 45076 and 45081 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 45076 and 45081, than apply into the LCM equation.

GCF(45076,45081) = 1
LCM(45076,45081) = ( 45076 × 45081) / 1
LCM(45076,45081) = 2032071156 / 1
LCM(45076,45081) = 2032071156

Least Common Multiple (LCM) of 45076 and 45081 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 45076 and 45081. First we will calculate the prime factors of 45076 and 45081.

Prime Factorization of 45076

Prime Factorization of 45081

Now multiplying the highest exponent prime factors to calculate the LCM of 45076 and 45081.

LCM(45076,45081) = 2² × 59¹ × 191¹ × 3² × 5009¹
LCM(45076,45081) = 2032071156