What is the Least Common Multiple of 73146 and 73162?

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 73146 and 73162 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 73146 and 73162, than apply into the LCM equation.

GCF(73146,73162) = 2
LCM(73146,73162) = ( 73146 × 73162) / 2
LCM(73146,73162) = 5351507652 / 2
LCM(73146,73162) = 2675753826

Least Common Multiple (LCM) of 73146 and 73162 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 73146 and 73162. First we will calculate the prime factors of 73146 and 73162.

Prime Factorization of 73146

Prime Factorization of 73162

Now multiplying the highest exponent prime factors to calculate the LCM of 73146 and 73162.

LCM(73146,73162) = 2¹ × 3¹ × 73¹ × 167¹ × 157¹ × 233¹
LCM(73146,73162) = 2675753826