What is the Least Common Multiple of 58977 and 58981?
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 58977 and 58981 is 3478522437.
LCM(58977,58981) = 3478522437
Least Common Multiple of 58977 and 58981 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 58977 and 58981, than apply into the LCM equation.
GCF(58977,58981) = 1
LCM(58977,58981) = ( 58977 × 58981) / 1
LCM(58977,58981) = 3478522437 / 1
LCM(58977,58981) = 3478522437
Least Common Multiple (LCM) of 58977 and 58981 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 58977 and 58981. First we will calculate the prime factors of 58977 and 58981.
Prime Factorization of 58977
Prime factors of 58977 are 3, 6553. Prime factorization of 58977 in exponential form is:
58977 = 32 × 65531
Prime Factorization of 58981
Prime factors of 58981 are 13, 349. Prime factorization of 58981 in exponential form is:
58981 = 132 × 3491
Now multiplying the highest exponent prime factors to calculate the LCM of 58977 and 58981.
LCM(58977,58981) = 32 × 65531 × 132 × 3491
LCM(58977,58981) = 3478522437
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