What is the Least Common Multiple of 48137 and 48155?
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 48137 and 48155 is 2318037235.
LCM(48137,48155) = 2318037235
Least Common Multiple of 48137 and 48155 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 48137 and 48155, than apply into the LCM equation.
GCF(48137,48155) = 1
LCM(48137,48155) = ( 48137 × 48155) / 1
LCM(48137,48155) = 2318037235 / 1
LCM(48137,48155) = 2318037235
Least Common Multiple (LCM) of 48137 and 48155 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 48137 and 48155. First we will calculate the prime factors of 48137 and 48155.
Prime Factorization of 48137
Prime factors of 48137 are 37, 1301. Prime factorization of 48137 in exponential form is:
48137 = 371 × 13011
Prime Factorization of 48155
Prime factors of 48155 are 5, 9631. Prime factorization of 48155 in exponential form is:
48155 = 51 × 96311
Now multiplying the highest exponent prime factors to calculate the LCM of 48137 and 48155.
LCM(48137,48155) = 371 × 13011 × 51 × 96311
LCM(48137,48155) = 2318037235
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