What is the Least Common Multiple of 77684 and 77698?

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 77684 and 77698 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 77684 and 77698, than apply into the LCM equation.

GCF(77684,77698) = 2
LCM(77684,77698) = ( 77684 × 77698) / 2
LCM(77684,77698) = 6035891432 / 2
LCM(77684,77698) = 3017945716

Least Common Multiple (LCM) of 77684 and 77698 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 77684 and 77698. First we will calculate the prime factors of 77684 and 77698.

Prime Factorization of 77684

Prime Factorization of 77698

Now multiplying the highest exponent prime factors to calculate the LCM of 77684 and 77698.

LCM(77684,77698) = 2² × 19421¹ × 53¹ × 733¹
LCM(77684,77698) = 3017945716