What is the Least Common Multiple of 60877 and 60895?
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 60895 is 3707104915.
LCM(60877,60895) = 3707104915
Least Common Multiple of 60877 and 60895 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 60895, than apply into the LCM equation.
GCF(60877,60895) = 1
LCM(60877,60895) = ( 60877 × 60895) / 1
LCM(60877,60895) = 3707104915 / 1
LCM(60877,60895) = 3707104915
Least Common Multiple (LCM) of 60877 and 60895 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 60877 and 60895. First we will calculate the prime factors of 60877 and 60895.
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 60895
Prime factors of 60895 are 5, 19, 641. Prime factorization of 60895 in exponential form is:
60895 = 51 × 191 × 6411
Now multiplying the highest exponent prime factors to calculate the LCM of 60877 and 60895.
LCM(60877,60895) = 171 × 35811 × 51 × 191 × 6411
LCM(60877,60895) = 3707104915
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