What is the Least Common Multiple of 73110 and 73119?

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 73110 and 73119 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 73110 and 73119, than apply into the LCM equation.

GCF(73110,73119) = 3
LCM(73110,73119) = ( 73110 × 73119) / 3
LCM(73110,73119) = 5345730090 / 3
LCM(73110,73119) = 1781910030

Least Common Multiple (LCM) of 73110 and 73119 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 73110 and 73119. First we will calculate the prime factors of 73110 and 73119.

Prime Factorization of 73110

Prime Factorization of 73119

Now multiplying the highest exponent prime factors to calculate the LCM of 73110 and 73119.

LCM(73110,73119) = 2¹ × 3¹ × 5¹ × 2437¹ × 24373¹
LCM(73110,73119) = 1781910030