What is the Least Common Multiple of 83642 and 83662?

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 83642 and 83662 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 83642 and 83662, than apply into the LCM equation.

GCF(83642,83662) = 2
LCM(83642,83662) = ( 83642 × 83662) / 2
LCM(83642,83662) = 6997657004 / 2
LCM(83642,83662) = 3498828502

Least Common Multiple (LCM) of 83642 and 83662 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 83642 and 83662. First we will calculate the prime factors of 83642 and 83662.

Prime Factorization of 83642

Prime Factorization of 83662

Now multiplying the highest exponent prime factors to calculate the LCM of 83642 and 83662.

LCM(83642,83662) = 2¹ × 13¹ × 3217¹ × 59¹ × 709¹
LCM(83642,83662) = 3498828502