What is the Least Common Multiple of 66105 and 66120?

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 66105 and 66120 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 66105 and 66120, than apply into the LCM equation.

GCF(66105,66120) = 15
LCM(66105,66120) = ( 66105 × 66120) / 15
LCM(66105,66120) = 4370862600 / 15
LCM(66105,66120) = 291390840

Least Common Multiple (LCM) of 66105 and 66120 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 66105 and 66120. First we will calculate the prime factors of 66105 and 66120.

Prime Factorization of 66105

Prime Factorization of 66120

Now multiplying the highest exponent prime factors to calculate the LCM of 66105 and 66120.

LCM(66105,66120) = 3² × 5¹ × 13¹ × 113¹ × 2³ × 19¹ × 29¹
LCM(66105,66120) = 291390840