What is the Least Common Multiple of 41770 and 41785?

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 41770 and 41785 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 41770 and 41785, than apply into the LCM equation.

GCF(41770,41785) = 5
LCM(41770,41785) = ( 41770 × 41785) / 5
LCM(41770,41785) = 1745359450 / 5
LCM(41770,41785) = 349071890

Least Common Multiple (LCM) of 41770 and 41785 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 41770 and 41785. First we will calculate the prime factors of 41770 and 41785.

Prime Factorization of 41770

Prime Factorization of 41785

Now multiplying the highest exponent prime factors to calculate the LCM of 41770 and 41785.

LCM(41770,41785) = 2¹ × 5¹ × 4177¹ × 61¹ × 137¹
LCM(41770,41785) = 349071890