What is the Least Common Multiple of 80951 and 80955?
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 80951 and 80955 is 6553388205.
LCM(80951,80955) = 6553388205
Least Common Multiple of 80951 and 80955 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 80951 and 80955, than apply into the LCM equation.
GCF(80951,80955) = 1
LCM(80951,80955) = ( 80951 × 80955) / 1
LCM(80951,80955) = 6553388205 / 1
LCM(80951,80955) = 6553388205
Least Common Multiple (LCM) of 80951 and 80955 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 80951 and 80955. First we will calculate the prime factors of 80951 and 80955.
Prime Factorization of 80951
Prime factors of 80951 are 13, 479. Prime factorization of 80951 in exponential form is:
80951 = 132 × 4791
Prime Factorization of 80955
Prime factors of 80955 are 3, 5, 7, 257. Prime factorization of 80955 in exponential form is:
80955 = 32 × 51 × 71 × 2571
Now multiplying the highest exponent prime factors to calculate the LCM of 80951 and 80955.
LCM(80951,80955) = 132 × 4791 × 32 × 51 × 71 × 2571
LCM(80951,80955) = 6553388205
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