What is the Least Common Multiple of 87045 and 87049?

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 87045 and 87049 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 87045 and 87049, than apply into the LCM equation.

GCF(87045,87049) = 1
LCM(87045,87049) = ( 87045 × 87049) / 1
LCM(87045,87049) = 7577180205 / 1
LCM(87045,87049) = 7577180205

Least Common Multiple (LCM) of 87045 and 87049 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 87045 and 87049. First we will calculate the prime factors of 87045 and 87049.

Prime Factorization of 87045

Prime Factorization of 87049

Now multiplying the highest exponent prime factors to calculate the LCM of 87045 and 87049.

LCM(87045,87049) = 3¹ × 5¹ × 7¹ × 829¹ × 87049¹
LCM(87045,87049) = 7577180205