What is the Least Common Multiple of 62046 and 62054?

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 62046 and 62054 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 62046 and 62054, than apply into the LCM equation.

GCF(62046,62054) = 2
LCM(62046,62054) = ( 62046 × 62054) / 2
LCM(62046,62054) = 3850202484 / 2
LCM(62046,62054) = 1925101242

Least Common Multiple (LCM) of 62046 and 62054 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 62046 and 62054. First we will calculate the prime factors of 62046 and 62054.

Prime Factorization of 62046

Prime Factorization of 62054

Now multiplying the highest exponent prime factors to calculate the LCM of 62046 and 62054.

LCM(62046,62054) = 2¹ × 3⁴ × 383¹ × 19¹ × 23¹ × 71¹
LCM(62046,62054) = 1925101242