What is the Least Common Multiple of 68980 and 68985?

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 68985 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 68985, than apply into the LCM equation.

GCF(68980,68985) = 5
LCM(68980,68985) = ( 68980 × 68985) / 5
LCM(68980,68985) = 4758585300 / 5
LCM(68980,68985) = 951717060

Least Common Multiple (LCM) of 68980 and 68985 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 68980 and 68985. First we will calculate the prime factors of 68980 and 68985.

Prime Factorization of 68980

Prime Factorization of 68985

Now multiplying the highest exponent prime factors to calculate the LCM of 68980 and 68985.

LCM(68980,68985) = 2² × 5¹ × 3449¹ × 3³ × 7¹ × 73¹
LCM(68980,68985) = 951717060