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What is the Least Common Multiple of 2148 and 2152?

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 (LCM) of 2148 and 2152 is 1155624.

LCM(2148,2152) = 1155624

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Least Common Multiple of 2148 and 2152 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2148 and 2152, than apply into the LCM equation.

GCF(2148,2152) = 4
LCM(2148,2152) = ( 2148 × 2152) / 4
LCM(2148,2152) = 4622496 / 4
LCM(2148,2152) = 1155624

Least Common Multiple (LCM) of 2148 and 2152 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 2148 and 2152. First we will calculate the prime factors of 2148 and 2152.

Prime Factorization of 2148

Prime factors of 2148 are 2, 3, 179. Prime factorization of 2148 in exponential form is:

2148 = 22 × 31 × 1791

Prime Factorization of 2152

Prime factors of 2152 are 2, 269. Prime factorization of 2152 in exponential form is:

2152 = 23 × 2691

Now multiplying the highest exponent prime factors to calculate the LCM of 2148 and 2152.

LCM(2148,2152) = 23 × 31 × 1791 × 2691
LCM(2148,2152) = 1155624