What is the Least Common Multiple of 48707 and 48726?
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 48707 and 48726 is 2373297282.
LCM(48707,48726) = 2373297282
Least Common Multiple of 48707 and 48726 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 48707 and 48726, than apply into the LCM equation.
GCF(48707,48726) = 1
LCM(48707,48726) = ( 48707 × 48726) / 1
LCM(48707,48726) = 2373297282 / 1
LCM(48707,48726) = 2373297282
Least Common Multiple (LCM) of 48707 and 48726 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 48707 and 48726. First we will calculate the prime factors of 48707 and 48726.
Prime Factorization of 48707
Prime factors of 48707 are 53, 919. Prime factorization of 48707 in exponential form is:
48707 = 531 × 9191
Prime Factorization of 48726
Prime factors of 48726 are 2, 3, 2707. Prime factorization of 48726 in exponential form is:
48726 = 21 × 32 × 27071
Now multiplying the highest exponent prime factors to calculate the LCM of 48707 and 48726.
LCM(48707,48726) = 531 × 9191 × 21 × 32 × 27071
LCM(48707,48726) = 2373297282
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