What is the Least Common Multiple of 87090 and 87105?

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 87090 and 87105 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 87090 and 87105, than apply into the LCM equation.

GCF(87090,87105) = 15
LCM(87090,87105) = ( 87090 × 87105) / 15
LCM(87090,87105) = 7585974450 / 15
LCM(87090,87105) = 505731630

Least Common Multiple (LCM) of 87090 and 87105 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 87090 and 87105. First we will calculate the prime factors of 87090 and 87105.

Prime Factorization of 87090

Prime Factorization of 87105

Now multiplying the highest exponent prime factors to calculate the LCM of 87090 and 87105.

LCM(87090,87105) = 2¹ × 3¹ × 5¹ × 2903¹ × 5807¹
LCM(87090,87105) = 505731630