What is the Least Common Multiple of 67260 and 67278?

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 67260 and 67278 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 67260 and 67278, than apply into the LCM equation.

GCF(67260,67278) = 6
LCM(67260,67278) = ( 67260 × 67278) / 6
LCM(67260,67278) = 4525118280 / 6
LCM(67260,67278) = 754186380

Least Common Multiple (LCM) of 67260 and 67278 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 67260 and 67278. First we will calculate the prime factors of 67260 and 67278.

Prime Factorization of 67260

Prime Factorization of 67278

Now multiplying the highest exponent prime factors to calculate the LCM of 67260 and 67278.

LCM(67260,67278) = 2² × 3¹ × 5¹ × 19¹ × 59¹ × 11213¹
LCM(67260,67278) = 754186380