What is the Least Common Multiple of 66054 and 66074?

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 66054 and 66074 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 66054 and 66074, than apply into the LCM equation.

GCF(66054,66074) = 2
LCM(66054,66074) = ( 66054 × 66074) / 2
LCM(66054,66074) = 4364451996 / 2
LCM(66054,66074) = 2182225998

Least Common Multiple (LCM) of 66054 and 66074 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 66054 and 66074. First we will calculate the prime factors of 66054 and 66074.

Prime Factorization of 66054

Prime Factorization of 66074

Now multiplying the highest exponent prime factors to calculate the LCM of 66054 and 66074.

LCM(66054,66074) = 2¹ × 3¹ × 101¹ × 109¹ × 33037¹
LCM(66054,66074) = 2182225998