What is the Least Common Multiple of 67970 and 67977?

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 67970 and 67977 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 67970 and 67977, than apply into the LCM equation.

GCF(67970,67977) = 7
LCM(67970,67977) = ( 67970 × 67977) / 7
LCM(67970,67977) = 4620396690 / 7
LCM(67970,67977) = 660056670

Least Common Multiple (LCM) of 67970 and 67977 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 67970 and 67977. First we will calculate the prime factors of 67970 and 67977.

Prime Factorization of 67970

Prime Factorization of 67977

Now multiplying the highest exponent prime factors to calculate the LCM of 67970 and 67977.

LCM(67970,67977) = 2¹ × 5¹ × 7¹ × 971¹ × 3² × 13¹ × 83¹
LCM(67970,67977) = 660056670