What is the Least Common Multiple of 54951 and 54959?
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 54951 and 54959 is 3020052009.
LCM(54951,54959) = 3020052009
Least Common Multiple of 54951 and 54959 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 54951 and 54959, than apply into the LCM equation.
GCF(54951,54959) = 1
LCM(54951,54959) = ( 54951 × 54959) / 1
LCM(54951,54959) = 3020052009 / 1
LCM(54951,54959) = 3020052009
Least Common Multiple (LCM) of 54951 and 54959 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 54951 and 54959. First we will calculate the prime factors of 54951 and 54959.
Prime Factorization of 54951
Prime factors of 54951 are 3, 13, 1409. Prime factorization of 54951 in exponential form is:
54951 = 31 × 131 × 14091
Prime Factorization of 54959
Prime factors of 54959 are 54959. Prime factorization of 54959 in exponential form is:
54959 = 549591
Now multiplying the highest exponent prime factors to calculate the LCM of 54951 and 54959.
LCM(54951,54959) = 31 × 131 × 14091 × 549591
LCM(54951,54959) = 3020052009
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