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What is the Least Common Multiple of 21049 and 21053?

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 21049 and 21053 is 443144597.

LCM(21049,21053) = 443144597

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Least Common Multiple of 21049 and 21053 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 21049 and 21053, than apply into the LCM equation.

GCF(21049,21053) = 1
LCM(21049,21053) = ( 21049 × 21053) / 1
LCM(21049,21053) = 443144597 / 1
LCM(21049,21053) = 443144597

Least Common Multiple (LCM) of 21049 and 21053 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 21049 and 21053. First we will calculate the prime factors of 21049 and 21053.

Prime Factorization of 21049

Prime factors of 21049 are 7, 31, 97. Prime factorization of 21049 in exponential form is:

21049 = 71 × 311 × 971

Prime Factorization of 21053

Prime factors of 21053 are 37, 569. Prime factorization of 21053 in exponential form is:

21053 = 371 × 5691

Now multiplying the highest exponent prime factors to calculate the LCM of 21049 and 21053.

LCM(21049,21053) = 71 × 311 × 971 × 371 × 5691
LCM(21049,21053) = 443144597