What is the Least Common Multiple of 76132 and 76137?
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 76132 and 76137 is 5796462084.
LCM(76132,76137) = 5796462084
Least Common Multiple of 76132 and 76137 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 76132 and 76137, than apply into the LCM equation.
GCF(76132,76137) = 1
LCM(76132,76137) = ( 76132 × 76137) / 1
LCM(76132,76137) = 5796462084 / 1
LCM(76132,76137) = 5796462084
Least Common Multiple (LCM) of 76132 and 76137 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 76132 and 76137. First we will calculate the prime factors of 76132 and 76137.
Prime Factorization of 76132
Prime factors of 76132 are 2, 7, 2719. Prime factorization of 76132 in exponential form is:
76132 = 22 × 71 × 27191
Prime Factorization of 76137
Prime factors of 76137 are 3, 41, 619. Prime factorization of 76137 in exponential form is:
76137 = 31 × 411 × 6191
Now multiplying the highest exponent prime factors to calculate the LCM of 76132 and 76137.
LCM(76132,76137) = 22 × 71 × 27191 × 31 × 411 × 6191
LCM(76132,76137) = 5796462084
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