What is the Least Common Multiple of 65971 and 65980?

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 65971 and 65980 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 65971 and 65980, than apply into the LCM equation.

GCF(65971,65980) = 1
LCM(65971,65980) = ( 65971 × 65980) / 1
LCM(65971,65980) = 4352766580 / 1
LCM(65971,65980) = 4352766580

Least Common Multiple (LCM) of 65971 and 65980 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 65971 and 65980. First we will calculate the prime factors of 65971 and 65980.

Prime Factorization of 65971

Prime Factorization of 65980

Now multiplying the highest exponent prime factors to calculate the LCM of 65971 and 65980.

LCM(65971,65980) = 37¹ × 1783¹ × 2² × 5¹ × 3299¹
LCM(65971,65980) = 4352766580