What is the Least Common Multiple of 53648 and 53660?

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 53648 and 53660 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 53648 and 53660, than apply into the LCM equation.

GCF(53648,53660) = 4
LCM(53648,53660) = ( 53648 × 53660) / 4
LCM(53648,53660) = 2878751680 / 4
LCM(53648,53660) = 719687920

Least Common Multiple (LCM) of 53648 and 53660 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 53648 and 53660. First we will calculate the prime factors of 53648 and 53660.

Prime Factorization of 53648

Prime Factorization of 53660

Now multiplying the highest exponent prime factors to calculate the LCM of 53648 and 53660.

LCM(53648,53660) = 2⁴ × 7¹ × 479¹ × 5¹ × 2683¹
LCM(53648,53660) = 719687920