What is the Least Common Multiple of 67792 and 67810?

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 67792 and 67810 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 67792 and 67810, than apply into the LCM equation.

GCF(67792,67810) = 2
LCM(67792,67810) = ( 67792 × 67810) / 2
LCM(67792,67810) = 4596975520 / 2
LCM(67792,67810) = 2298487760

Least Common Multiple (LCM) of 67792 and 67810 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 67792 and 67810. First we will calculate the prime factors of 67792 and 67810.

Prime Factorization of 67792

Prime Factorization of 67810

Now multiplying the highest exponent prime factors to calculate the LCM of 67792 and 67810.

LCM(67792,67810) = 2⁴ × 19¹ × 223¹ × 5¹ × 6781¹
LCM(67792,67810) = 2298487760