What is the Least Common Multiple of 87030 and 87046?

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 87030 and 87046 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 87030 and 87046, than apply into the LCM equation.

GCF(87030,87046) = 2
LCM(87030,87046) = ( 87030 × 87046) / 2
LCM(87030,87046) = 7575613380 / 2
LCM(87030,87046) = 3787806690

Least Common Multiple (LCM) of 87030 and 87046 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 87030 and 87046. First we will calculate the prime factors of 87030 and 87046.

Prime Factorization of 87030

Prime Factorization of 87046

Now multiplying the highest exponent prime factors to calculate the LCM of 87030 and 87046.

LCM(87030,87046) = 2¹ × 3² × 5¹ × 967¹ × 71¹ × 613¹
LCM(87030,87046) = 3787806690