What is the Least Common Multiple of 72741 and 72761?
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 72741 and 72761 is 5292707901.
LCM(72741,72761) = 5292707901
Least Common Multiple of 72741 and 72761 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 72741 and 72761, than apply into the LCM equation.
GCF(72741,72761) = 1
LCM(72741,72761) = ( 72741 × 72761) / 1
LCM(72741,72761) = 5292707901 / 1
LCM(72741,72761) = 5292707901
Least Common Multiple (LCM) of 72741 and 72761 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 72741 and 72761. First we will calculate the prime factors of 72741 and 72761.
Prime Factorization of 72741
Prime factors of 72741 are 3, 24247. Prime factorization of 72741 in exponential form is:
72741 = 31 × 242471
Prime Factorization of 72761
Prime factors of 72761 are 13, 29, 193. Prime factorization of 72761 in exponential form is:
72761 = 131 × 291 × 1931
Now multiplying the highest exponent prime factors to calculate the LCM of 72741 and 72761.
LCM(72741,72761) = 31 × 242471 × 131 × 291 × 1931
LCM(72741,72761) = 5292707901
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