What is the Least Common Multiple of 38842 and 38860?

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 38842 and 38860 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 38842 and 38860, than apply into the LCM equation.

GCF(38842,38860) = 2
LCM(38842,38860) = ( 38842 × 38860) / 2
LCM(38842,38860) = 1509400120 / 2
LCM(38842,38860) = 754700060

Least Common Multiple (LCM) of 38842 and 38860 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 38842 and 38860. First we will calculate the prime factors of 38842 and 38860.

Prime Factorization of 38842

Prime Factorization of 38860

Now multiplying the highest exponent prime factors to calculate the LCM of 38842 and 38860.

LCM(38842,38860) = 2² × 19421¹ × 5¹ × 29¹ × 67¹
LCM(38842,38860) = 754700060