What is the Least Common Multiple of 67950 and 67965?

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 67950 and 67965 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 67950 and 67965, than apply into the LCM equation.

GCF(67950,67965) = 15
LCM(67950,67965) = ( 67950 × 67965) / 15
LCM(67950,67965) = 4618221750 / 15
LCM(67950,67965) = 307881450

Least Common Multiple (LCM) of 67950 and 67965 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 67950 and 67965. First we will calculate the prime factors of 67950 and 67965.

Prime Factorization of 67950

Prime Factorization of 67965

Now multiplying the highest exponent prime factors to calculate the LCM of 67950 and 67965.

LCM(67950,67965) = 2¹ × 3² × 5² × 151¹ × 23¹ × 197¹
LCM(67950,67965) = 307881450