What is the Least Common Multiple of 59770 and 59785?

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 59770 and 59785 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 59770 and 59785, than apply into the LCM equation.

GCF(59770,59785) = 5
LCM(59770,59785) = ( 59770 × 59785) / 5
LCM(59770,59785) = 3573349450 / 5
LCM(59770,59785) = 714669890

Least Common Multiple (LCM) of 59770 and 59785 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 59770 and 59785. First we will calculate the prime factors of 59770 and 59785.

Prime Factorization of 59770

Prime Factorization of 59785

Now multiplying the highest exponent prime factors to calculate the LCM of 59770 and 59785.

LCM(59770,59785) = 2¹ × 5¹ × 43¹ × 139¹ × 11¹ × 1087¹
LCM(59770,59785) = 714669890