What is the Least Common Multiple of 54955 and 54967?
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 54955 and 54967 is 3020711485.
LCM(54955,54967) = 3020711485
Least Common Multiple of 54955 and 54967 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 54955 and 54967, than apply into the LCM equation.
GCF(54955,54967) = 1
LCM(54955,54967) = ( 54955 × 54967) / 1
LCM(54955,54967) = 3020711485 / 1
LCM(54955,54967) = 3020711485
Least Common Multiple (LCM) of 54955 and 54967 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 54955 and 54967. First we will calculate the prime factors of 54955 and 54967.
Prime Factorization of 54955
Prime factors of 54955 are 5, 29, 379. Prime factorization of 54955 in exponential form is:
54955 = 51 × 291 × 3791
Prime Factorization of 54967
Prime factors of 54967 are 11, 19, 263. Prime factorization of 54967 in exponential form is:
54967 = 111 × 191 × 2631
Now multiplying the highest exponent prime factors to calculate the LCM of 54955 and 54967.
LCM(54955,54967) = 51 × 291 × 3791 × 111 × 191 × 2631
LCM(54955,54967) = 3020711485
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