What is the Least Common Multiple of 60791 and 60810?
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 60791 and 60810 is 3696700710.
LCM(60791,60810) = 3696700710
Least Common Multiple of 60791 and 60810 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 60791 and 60810, than apply into the LCM equation.
GCF(60791,60810) = 1
LCM(60791,60810) = ( 60791 × 60810) / 1
LCM(60791,60810) = 3696700710 / 1
LCM(60791,60810) = 3696700710
Least Common Multiple (LCM) of 60791 and 60810 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 60791 and 60810. First we will calculate the prime factors of 60791 and 60810.
Prime Factorization of 60791
Prime factors of 60791 are 31, 37, 53. Prime factorization of 60791 in exponential form is:
60791 = 311 × 371 × 531
Prime Factorization of 60810
Prime factors of 60810 are 2, 3, 5, 2027. Prime factorization of 60810 in exponential form is:
60810 = 21 × 31 × 51 × 20271
Now multiplying the highest exponent prime factors to calculate the LCM of 60791 and 60810.
LCM(60791,60810) = 311 × 371 × 531 × 21 × 31 × 51 × 20271
LCM(60791,60810) = 3696700710
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