What is the Least Common Multiple of 86946 and 86960?

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 86946 and 86960 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 86946 and 86960, than apply into the LCM equation.

GCF(86946,86960) = 2
LCM(86946,86960) = ( 86946 × 86960) / 2
LCM(86946,86960) = 7560824160 / 2
LCM(86946,86960) = 3780412080

Least Common Multiple (LCM) of 86946 and 86960 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 86946 and 86960. First we will calculate the prime factors of 86946 and 86960.

Prime Factorization of 86946

Prime Factorization of 86960

Now multiplying the highest exponent prime factors to calculate the LCM of 86946 and 86960.

LCM(86946,86960) = 2⁴ × 3¹ × 43¹ × 337¹ × 5¹ × 1087¹
LCM(86946,86960) = 3780412080