What is the Least Common Multiple of 67965 and 67971?

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 67965 and 67971 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 67965 and 67971, than apply into the LCM equation.

GCF(67965,67971) = 3
LCM(67965,67971) = ( 67965 × 67971) / 3
LCM(67965,67971) = 4619649015 / 3
LCM(67965,67971) = 1539883005

Least Common Multiple (LCM) of 67965 and 67971 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 67965 and 67971. First we will calculate the prime factors of 67965 and 67971.

Prime Factorization of 67965

Prime Factorization of 67971

Now multiplying the highest exponent prime factors to calculate the LCM of 67965 and 67971.

LCM(67965,67971) = 3¹ × 5¹ × 23¹ × 197¹ × 139¹ × 163¹
LCM(67965,67971) = 1539883005