What is the Least Common Multiple of 52226 and 52237?
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 52226 and 52237 is 2728129562.
LCM(52226,52237) = 2728129562
Least Common Multiple of 52226 and 52237 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 52226 and 52237, than apply into the LCM equation.
GCF(52226,52237) = 1
LCM(52226,52237) = ( 52226 × 52237) / 1
LCM(52226,52237) = 2728129562 / 1
LCM(52226,52237) = 2728129562
Least Common Multiple (LCM) of 52226 and 52237 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 52226 and 52237. First we will calculate the prime factors of 52226 and 52237.
Prime Factorization of 52226
Prime factors of 52226 are 2, 26113. Prime factorization of 52226 in exponential form is:
52226 = 21 × 261131
Prime Factorization of 52237
Prime factors of 52237 are 52237. Prime factorization of 52237 in exponential form is:
52237 = 522371
Now multiplying the highest exponent prime factors to calculate the LCM of 52226 and 52237.
LCM(52226,52237) = 21 × 261131 × 522371
LCM(52226,52237) = 2728129562
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