What is the Least Common Multiple of 74609 and 74620?

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 74609 and 74620 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 74609 and 74620, than apply into the LCM equation.

GCF(74609,74620) = 1
LCM(74609,74620) = ( 74609 × 74620) / 1
LCM(74609,74620) = 5567323580 / 1
LCM(74609,74620) = 5567323580

Least Common Multiple (LCM) of 74609 and 74620 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 74609 and 74620. First we will calculate the prime factors of 74609 and 74620.

Prime Factorization of 74609

Prime Factorization of 74620

Now multiplying the highest exponent prime factors to calculate the LCM of 74609 and 74620.

LCM(74609,74620) = 74609¹ × 2² × 5¹ × 7¹ × 13¹ × 41¹
LCM(74609,74620) = 5567323580