What is the Least Common Multiple of 67600 and 67614?

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 67600 and 67614 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 67600 and 67614, than apply into the LCM equation.

GCF(67600,67614) = 2
LCM(67600,67614) = ( 67600 × 67614) / 2
LCM(67600,67614) = 4570706400 / 2
LCM(67600,67614) = 2285353200

Least Common Multiple (LCM) of 67600 and 67614 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 67600 and 67614. First we will calculate the prime factors of 67600 and 67614.

Prime Factorization of 67600

Prime Factorization of 67614

Now multiplying the highest exponent prime factors to calculate the LCM of 67600 and 67614.

LCM(67600,67614) = 2⁴ × 5² × 13² × 3¹ × 59¹ × 191¹
LCM(67600,67614) = 2285353200