What is the Least Common Multiple of 52237 and 52247?
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 52237 and 52247 is 2729226539.
LCM(52237,52247) = 2729226539
Least Common Multiple of 52237 and 52247 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 52237 and 52247, than apply into the LCM equation.
GCF(52237,52247) = 1
LCM(52237,52247) = ( 52237 × 52247) / 1
LCM(52237,52247) = 2729226539 / 1
LCM(52237,52247) = 2729226539
Least Common Multiple (LCM) of 52237 and 52247 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 52237 and 52247. First we will calculate the prime factors of 52237 and 52247.
Prime Factorization of 52237
Prime factors of 52237 are 52237. Prime factorization of 52237 in exponential form is:
52237 = 522371
Prime Factorization of 52247
Prime factors of 52247 are 13, 4019. Prime factorization of 52247 in exponential form is:
52247 = 131 × 40191
Now multiplying the highest exponent prime factors to calculate the LCM of 52237 and 52247.
LCM(52237,52247) = 522371 × 131 × 40191
LCM(52237,52247) = 2729226539
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