GCF and LCM Calculator Logo

What is the Least Common Multiple of 73130 and 73146?

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 (LCM) of 73130 and 73146 is 2674583490.

LCM(73130,73146) = 2674583490

LCM Calculator and
and

Least Common Multiple of 73130 and 73146 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 73130 and 73146, than apply into the LCM equation.

GCF(73130,73146) = 2
LCM(73130,73146) = ( 73130 × 73146) / 2
LCM(73130,73146) = 5349166980 / 2
LCM(73130,73146) = 2674583490

Least Common Multiple (LCM) of 73130 and 73146 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 73130 and 73146. First we will calculate the prime factors of 73130 and 73146.

Prime Factorization of 73130

Prime factors of 73130 are 2, 5, 71, 103. Prime factorization of 73130 in exponential form is:

73130 = 21 × 51 × 711 × 1031

Prime Factorization of 73146

Prime factors of 73146 are 2, 3, 73, 167. Prime factorization of 73146 in exponential form is:

73146 = 21 × 31 × 731 × 1671

Now multiplying the highest exponent prime factors to calculate the LCM of 73130 and 73146.

LCM(73130,73146) = 21 × 51 × 711 × 1031 × 31 × 731 × 1671
LCM(73130,73146) = 2674583490