What is the Least Common Multiple of 68856 and 68860?

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 68856 and 68860 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 68856 and 68860, than apply into the LCM equation.

GCF(68856,68860) = 4
LCM(68856,68860) = ( 68856 × 68860) / 4
LCM(68856,68860) = 4741424160 / 4
LCM(68856,68860) = 1185356040

Least Common Multiple (LCM) of 68856 and 68860 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 68856 and 68860. First we will calculate the prime factors of 68856 and 68860.

Prime Factorization of 68856

Prime Factorization of 68860

Now multiplying the highest exponent prime factors to calculate the LCM of 68856 and 68860.

LCM(68856,68860) = 2³ × 3¹ × 19¹ × 151¹ × 5¹ × 11¹ × 313¹
LCM(68856,68860) = 1185356040