What is the Least Common Multiple of 62054 and 62062?

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 62054 and 62062 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 62054 and 62062, than apply into the LCM equation.

GCF(62054,62062) = 2
LCM(62054,62062) = ( 62054 × 62062) / 2
LCM(62054,62062) = 3851195348 / 2
LCM(62054,62062) = 1925597674

Least Common Multiple (LCM) of 62054 and 62062 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 62054 and 62062. First we will calculate the prime factors of 62054 and 62062.

Prime Factorization of 62054

Prime Factorization of 62062

Now multiplying the highest exponent prime factors to calculate the LCM of 62054 and 62062.

LCM(62054,62062) = 2¹ × 19¹ × 23¹ × 71¹ × 7¹ × 11¹ × 13¹ × 31¹
LCM(62054,62062) = 1925597674