What is the Least Common Multiple of 68720 and 68739?

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 68720 and 68739 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 68720 and 68739, than apply into the LCM equation.

GCF(68720,68739) = 1
LCM(68720,68739) = ( 68720 × 68739) / 1
LCM(68720,68739) = 4723744080 / 1
LCM(68720,68739) = 4723744080

Least Common Multiple (LCM) of 68720 and 68739 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 68720 and 68739. First we will calculate the prime factors of 68720 and 68739.

Prime Factorization of 68720

Prime Factorization of 68739

Now multiplying the highest exponent prime factors to calculate the LCM of 68720 and 68739.

LCM(68720,68739) = 2⁴ × 5¹ × 859¹ × 3¹ × 11¹ × 2083¹
LCM(68720,68739) = 4723744080