What is the Least Common Multiple of 62262 and 62280?

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 62262 and 62280 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 62262 and 62280, than apply into the LCM equation.

GCF(62262,62280) = 18
LCM(62262,62280) = ( 62262 × 62280) / 18
LCM(62262,62280) = 3877677360 / 18
LCM(62262,62280) = 215426520

Least Common Multiple (LCM) of 62262 and 62280 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 62262 and 62280. First we will calculate the prime factors of 62262 and 62280.

Prime Factorization of 62262

Prime Factorization of 62280

Now multiplying the highest exponent prime factors to calculate the LCM of 62262 and 62280.

LCM(62262,62280) = 2³ × 3³ × 1153¹ × 5¹ × 173¹
LCM(62262,62280) = 215426520