What is the Least Common Multiple of 68980 and 68999?

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 68980 and 68999 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 68980 and 68999, than apply into the LCM equation.

GCF(68980,68999) = 1
LCM(68980,68999) = ( 68980 × 68999) / 1
LCM(68980,68999) = 4759551020 / 1
LCM(68980,68999) = 4759551020

Least Common Multiple (LCM) of 68980 and 68999 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 68980 and 68999. First we will calculate the prime factors of 68980 and 68999.

Prime Factorization of 68980

Prime Factorization of 68999

Now multiplying the highest exponent prime factors to calculate the LCM of 68980 and 68999.

LCM(68980,68999) = 2² × 5¹ × 3449¹ × 7¹ × 9857¹
LCM(68980,68999) = 4759551020