What is the Least Common Multiple of 66054 and 66070?

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 66070 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 66070, than apply into the LCM equation.

GCF(66054,66070) = 2
LCM(66054,66070) = ( 66054 × 66070) / 2
LCM(66054,66070) = 4364187780 / 2
LCM(66054,66070) = 2182093890

Least Common Multiple (LCM) of 66054 and 66070 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 66054 and 66070. First we will calculate the prime factors of 66054 and 66070.

Prime Factorization of 66054

Prime Factorization of 66070

Now multiplying the highest exponent prime factors to calculate the LCM of 66054 and 66070.

LCM(66054,66070) = 2¹ × 3¹ × 101¹ × 109¹ × 5¹ × 6607¹
LCM(66054,66070) = 2182093890