What is the Least Common Multiple of 60877 and 60897?
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 60877 and 60897 is 3707226669.
LCM(60877,60897) = 3707226669
Least Common Multiple of 60877 and 60897 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 60877 and 60897, than apply into the LCM equation.
GCF(60877,60897) = 1
LCM(60877,60897) = ( 60877 × 60897) / 1
LCM(60877,60897) = 3707226669 / 1
LCM(60877,60897) = 3707226669
Least Common Multiple (LCM) of 60877 and 60897 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 60877 and 60897. First we will calculate the prime factors of 60877 and 60897.
Prime Factorization of 60877
Prime factors of 60877 are 17, 3581. Prime factorization of 60877 in exponential form is:
60877 = 171 × 35811
Prime Factorization of 60897
Prime factors of 60897 are 3, 53, 383. Prime factorization of 60897 in exponential form is:
60897 = 31 × 531 × 3831
Now multiplying the highest exponent prime factors to calculate the LCM of 60877 and 60897.
LCM(60877,60897) = 171 × 35811 × 31 × 531 × 3831
LCM(60877,60897) = 3707226669
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