What is the Least Common Multiple of 71610 and 71619?

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 71610 and 71619 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 71610 and 71619, than apply into the LCM equation.

GCF(71610,71619) = 3
LCM(71610,71619) = ( 71610 × 71619) / 3
LCM(71610,71619) = 5128636590 / 3
LCM(71610,71619) = 1709545530

Least Common Multiple (LCM) of 71610 and 71619 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 71610 and 71619. First we will calculate the prime factors of 71610 and 71619.

Prime Factorization of 71610

Prime Factorization of 71619

Now multiplying the highest exponent prime factors to calculate the LCM of 71610 and 71619.

LCM(71610,71619) = 2¹ × 3¹ × 5¹ × 7¹ × 11¹ × 31¹ × 23873¹
LCM(71610,71619) = 1709545530