What is the Least Common Multiple of 67260 and 67264?

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 67264 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 67264, than apply into the LCM equation.

GCF(67260,67264) = 4
LCM(67260,67264) = ( 67260 × 67264) / 4
LCM(67260,67264) = 4524176640 / 4
LCM(67260,67264) = 1131044160

Least Common Multiple (LCM) of 67260 and 67264 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 67260 and 67264. First we will calculate the prime factors of 67260 and 67264.

Prime Factorization of 67260

Prime Factorization of 67264

Now multiplying the highest exponent prime factors to calculate the LCM of 67260 and 67264.

LCM(67260,67264) = 2⁶ × 3¹ × 5¹ × 19¹ × 59¹ × 1051¹
LCM(67260,67264) = 1131044160