What is the Least Common Multiple of 86970 and 86975?

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 86970 and 86975 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 86970 and 86975, than apply into the LCM equation.

GCF(86970,86975) = 5
LCM(86970,86975) = ( 86970 × 86975) / 5
LCM(86970,86975) = 7564215750 / 5
LCM(86970,86975) = 1512843150

Least Common Multiple (LCM) of 86970 and 86975 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 86970 and 86975. First we will calculate the prime factors of 86970 and 86975.

Prime Factorization of 86970

Prime Factorization of 86975

Now multiplying the highest exponent prime factors to calculate the LCM of 86970 and 86975.

LCM(86970,86975) = 2¹ × 3¹ × 5² × 13¹ × 223¹ × 7² × 71¹
LCM(86970,86975) = 1512843150