What is the Least Common Multiple of 67360 and 67366?

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 67360 and 67366 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 67360 and 67366, than apply into the LCM equation.

GCF(67360,67366) = 2
LCM(67360,67366) = ( 67360 × 67366) / 2
LCM(67360,67366) = 4537773760 / 2
LCM(67360,67366) = 2268886880

Least Common Multiple (LCM) of 67360 and 67366 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 67360 and 67366. First we will calculate the prime factors of 67360 and 67366.

Prime Factorization of 67360

Prime Factorization of 67366

Now multiplying the highest exponent prime factors to calculate the LCM of 67360 and 67366.

LCM(67360,67366) = 2⁵ × 5¹ × 421¹ × 13¹ × 2591¹
LCM(67360,67366) = 2268886880