What is the Least Common Multiple of 60862 and 60877?
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 60862 and 60877 is 3705095974.
LCM(60862,60877) = 3705095974
Least Common Multiple of 60862 and 60877 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 60862 and 60877, than apply into the LCM equation.
GCF(60862,60877) = 1
LCM(60862,60877) = ( 60862 × 60877) / 1
LCM(60862,60877) = 3705095974 / 1
LCM(60862,60877) = 3705095974
Least Common Multiple (LCM) of 60862 and 60877 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 60862 and 60877. First we will calculate the prime factors of 60862 and 60877.
Prime Factorization of 60862
Prime factors of 60862 are 2, 30431. Prime factorization of 60862 in exponential form is:
60862 = 21 × 304311
Prime Factorization of 60877
Prime factors of 60877 are 17, 3581. Prime factorization of 60877 in exponential form is:
60877 = 171 × 35811
Now multiplying the highest exponent prime factors to calculate the LCM of 60862 and 60877.
LCM(60862,60877) = 21 × 304311 × 171 × 35811
LCM(60862,60877) = 3705095974
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