What is the Least Common Multiple of 87642 and 87662?

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 87642 and 87662 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 87642 and 87662, than apply into the LCM equation.

GCF(87642,87662) = 2
LCM(87642,87662) = ( 87642 × 87662) / 2
LCM(87642,87662) = 7682873004 / 2
LCM(87642,87662) = 3841436502

Least Common Multiple (LCM) of 87642 and 87662 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 87642 and 87662. First we will calculate the prime factors of 87642 and 87662.

Prime Factorization of 87642

Prime Factorization of 87662

Now multiplying the highest exponent prime factors to calculate the LCM of 87642 and 87662.

LCM(87642,87662) = 2¹ × 3⁴ × 541¹ × 53¹ × 827¹
LCM(87642,87662) = 3841436502