What is the Least Common Multiple of 48877 and 48881?
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 48877 and 48881 is 2389156637.
LCM(48877,48881) = 2389156637
Least Common Multiple of 48877 and 48881 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 48877 and 48881, than apply into the LCM equation.
GCF(48877,48881) = 1
LCM(48877,48881) = ( 48877 × 48881) / 1
LCM(48877,48881) = 2389156637 / 1
LCM(48877,48881) = 2389156637
Least Common Multiple (LCM) of 48877 and 48881 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 48877 and 48881. First we will calculate the prime factors of 48877 and 48881.
Prime Factorization of 48877
Prime factors of 48877 are 37, 1321. Prime factorization of 48877 in exponential form is:
48877 = 371 × 13211
Prime Factorization of 48881
Prime factors of 48881 are 7, 6983. Prime factorization of 48881 in exponential form is:
48881 = 71 × 69831
Now multiplying the highest exponent prime factors to calculate the LCM of 48877 and 48881.
LCM(48877,48881) = 371 × 13211 × 71 × 69831
LCM(48877,48881) = 2389156637
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