What is the Least Common Multiple of 87654 and 87670?

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 87654 and 87670 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 87654 and 87670, than apply into the LCM equation.

GCF(87654,87670) = 2
LCM(87654,87670) = ( 87654 × 87670) / 2
LCM(87654,87670) = 7684626180 / 2
LCM(87654,87670) = 3842313090

Least Common Multiple (LCM) of 87654 and 87670 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 87654 and 87670. First we will calculate the prime factors of 87654 and 87670.

Prime Factorization of 87654

Prime Factorization of 87670

Now multiplying the highest exponent prime factors to calculate the LCM of 87654 and 87670.

LCM(87654,87670) = 2¹ × 3¹ × 7¹ × 2087¹ × 5¹ × 11¹ × 797¹
LCM(87654,87670) = 3842313090