What is the Least Common Multiple of 62045 and 62050?

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 62045 and 62050 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 62045 and 62050, than apply into the LCM equation.

GCF(62045,62050) = 5
LCM(62045,62050) = ( 62045 × 62050) / 5
LCM(62045,62050) = 3849892250 / 5
LCM(62045,62050) = 769978450

Least Common Multiple (LCM) of 62045 and 62050 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 62045 and 62050. First we will calculate the prime factors of 62045 and 62050.

Prime Factorization of 62045

Prime Factorization of 62050

Now multiplying the highest exponent prime factors to calculate the LCM of 62045 and 62050.

LCM(62045,62050) = 5² × 12409¹ × 2¹ × 17¹ × 73¹
LCM(62045,62050) = 769978450