What is the Least Common Multiple of 53680 and 53690?

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 53680 and 53690 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 53680 and 53690, than apply into the LCM equation.

GCF(53680,53690) = 10
LCM(53680,53690) = ( 53680 × 53690) / 10
LCM(53680,53690) = 2882079200 / 10
LCM(53680,53690) = 288207920

Least Common Multiple (LCM) of 53680 and 53690 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 53680 and 53690. First we will calculate the prime factors of 53680 and 53690.

Prime Factorization of 53680

Prime Factorization of 53690

Now multiplying the highest exponent prime factors to calculate the LCM of 53680 and 53690.

LCM(53680,53690) = 2⁴ × 5¹ × 11¹ × 61¹ × 7¹ × 13¹ × 59¹
LCM(53680,53690) = 288207920