What is the Least Common Multiple of 65102 and 65120?

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 65102 and 65120 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 65102 and 65120, than apply into the LCM equation.

GCF(65102,65120) = 2
LCM(65102,65120) = ( 65102 × 65120) / 2
LCM(65102,65120) = 4239442240 / 2
LCM(65102,65120) = 2119721120

Least Common Multiple (LCM) of 65102 and 65120 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 65102 and 65120. First we will calculate the prime factors of 65102 and 65120.

Prime Factorization of 65102

Prime Factorization of 65120

Now multiplying the highest exponent prime factors to calculate the LCM of 65102 and 65120.

LCM(65102,65120) = 2⁵ × 43¹ × 757¹ × 5¹ × 11¹ × 37¹
LCM(65102,65120) = 2119721120