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What is the Least Common Multiple of 52232 and 52242?

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 52232 and 52242 is 1364352072.

LCM(52232,52242) = 1364352072

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Least Common Multiple of 52232 and 52242 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 52232 and 52242, than apply into the LCM equation.

GCF(52232,52242) = 2
LCM(52232,52242) = ( 52232 × 52242) / 2
LCM(52232,52242) = 2728704144 / 2
LCM(52232,52242) = 1364352072

Least Common Multiple (LCM) of 52232 and 52242 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 52232 and 52242. First we will calculate the prime factors of 52232 and 52242.

Prime Factorization of 52232

Prime factors of 52232 are 2, 6529. Prime factorization of 52232 in exponential form is:

52232 = 23 × 65291

Prime Factorization of 52242

Prime factors of 52242 are 2, 3, 8707. Prime factorization of 52242 in exponential form is:

52242 = 21 × 31 × 87071

Now multiplying the highest exponent prime factors to calculate the LCM of 52232 and 52242.

LCM(52232,52242) = 23 × 65291 × 31 × 87071
LCM(52232,52242) = 1364352072