What is the Least Common Multiple of 52633 and 52646?
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 52633 and 52646 is 2770916918.
LCM(52633,52646) = 2770916918
Least Common Multiple of 52633 and 52646 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 52633 and 52646, than apply into the LCM equation.
GCF(52633,52646) = 1
LCM(52633,52646) = ( 52633 × 52646) / 1
LCM(52633,52646) = 2770916918 / 1
LCM(52633,52646) = 2770916918
Least Common Multiple (LCM) of 52633 and 52646 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 52633 and 52646. First we will calculate the prime factors of 52633 and 52646.
Prime Factorization of 52633
Prime factors of 52633 are 7, 73, 103. Prime factorization of 52633 in exponential form is:
52633 = 71 × 731 × 1031
Prime Factorization of 52646
Prime factors of 52646 are 2, 11, 2393. Prime factorization of 52646 in exponential form is:
52646 = 21 × 111 × 23931
Now multiplying the highest exponent prime factors to calculate the LCM of 52633 and 52646.
LCM(52633,52646) = 71 × 731 × 1031 × 21 × 111 × 23931
LCM(52633,52646) = 2770916918
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