What is the Least Common Multiple of 65996 and 66008?

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 65996 and 66008 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 65996 and 66008, than apply into the LCM equation.

GCF(65996,66008) = 4
LCM(65996,66008) = ( 65996 × 66008) / 4
LCM(65996,66008) = 4356263968 / 4
LCM(65996,66008) = 1089065992

Least Common Multiple (LCM) of 65996 and 66008 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 65996 and 66008. First we will calculate the prime factors of 65996 and 66008.

Prime Factorization of 65996

Prime Factorization of 66008

Now multiplying the highest exponent prime factors to calculate the LCM of 65996 and 66008.

LCM(65996,66008) = 2³ × 7¹ × 2357¹ × 37¹ × 223¹
LCM(65996,66008) = 1089065992