What is the Least Common Multiple of 29679 and 29685?

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 29679 and 29685 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 29679 and 29685, than apply into the LCM equation.

GCF(29679,29685) = 3
LCM(29679,29685) = ( 29679 × 29685) / 3
LCM(29679,29685) = 881021115 / 3
LCM(29679,29685) = 293673705

Least Common Multiple (LCM) of 29679 and 29685 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 29679 and 29685. First we will calculate the prime factors of 29679 and 29685.

Prime Factorization of 29679

Prime Factorization of 29685

Now multiplying the highest exponent prime factors to calculate the LCM of 29679 and 29685.

LCM(29679,29685) = 3¹ × 13¹ × 761¹ × 5¹ × 1979¹
LCM(29679,29685) = 293673705