What is the Least Common Multiple of 53678 and 53694?

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 53678 and 53694 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 53678 and 53694, than apply into the LCM equation.

GCF(53678,53694) = 2
LCM(53678,53694) = ( 53678 × 53694) / 2
LCM(53678,53694) = 2882186532 / 2
LCM(53678,53694) = 1441093266

Least Common Multiple (LCM) of 53678 and 53694 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 53678 and 53694. First we will calculate the prime factors of 53678 and 53694.

Prime Factorization of 53678

Prime Factorization of 53694

Now multiplying the highest exponent prime factors to calculate the LCM of 53678 and 53694.

LCM(53678,53694) = 2¹ × 26839¹ × 3² × 19¹ × 157¹
LCM(53678,53694) = 1441093266