What is the Least Common Multiple of 10959 and 10970?

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 10959 and 10970 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 10959 and 10970, than apply into the LCM equation.

GCF(10959,10970) = 1
LCM(10959,10970) = ( 10959 × 10970) / 1
LCM(10959,10970) = 120220230 / 1
LCM(10959,10970) = 120220230

Least Common Multiple (LCM) of 10959 and 10970 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 10959 and 10970. First we will calculate the prime factors of 10959 and 10970.

Prime Factorization of 10959

Prime Factorization of 10970

Now multiplying the highest exponent prime factors to calculate the LCM of 10959 and 10970.

LCM(10959,10970) = 3¹ × 13¹ × 281¹ × 2¹ × 5¹ × 1097¹
LCM(10959,10970) = 120220230