What is the Least Common Multiple of 94820 and 94835?

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 94820 and 94835 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94820 and 94835, than apply into the LCM equation.

GCF(94820,94835) = 5
LCM(94820,94835) = ( 94820 × 94835) / 5
LCM(94820,94835) = 8992254700 / 5
LCM(94820,94835) = 1798450940

Least Common Multiple (LCM) of 94820 and 94835 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 94820 and 94835. First we will calculate the prime factors of 94820 and 94835.

Prime Factorization of 94820

Prime Factorization of 94835

Now multiplying the highest exponent prime factors to calculate the LCM of 94820 and 94835.

LCM(94820,94835) = 2² × 5¹ × 11¹ × 431¹ × 13¹ × 1459¹
LCM(94820,94835) = 1798450940