What is the Least Common Multiple of 62678 and 62694?

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 62678 and 62694 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 62678 and 62694, than apply into the LCM equation.

GCF(62678,62694) = 2
LCM(62678,62694) = ( 62678 × 62694) / 2
LCM(62678,62694) = 3929534532 / 2
LCM(62678,62694) = 1964767266

Least Common Multiple (LCM) of 62678 and 62694 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 62678 and 62694. First we will calculate the prime factors of 62678 and 62694.

Prime Factorization of 62678

Prime Factorization of 62694

Now multiplying the highest exponent prime factors to calculate the LCM of 62678 and 62694.

LCM(62678,62694) = 2¹ × 7¹ × 11² × 37¹ × 3⁶ × 43¹
LCM(62678,62694) = 1964767266