What is the Least Common Multiple of 35473 and 35480?
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 35473 and 35480 is 1258582040.
LCM(35473,35480) = 1258582040
Least Common Multiple of 35473 and 35480 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 35473 and 35480, than apply into the LCM equation.
GCF(35473,35480) = 1
LCM(35473,35480) = ( 35473 × 35480) / 1
LCM(35473,35480) = 1258582040 / 1
LCM(35473,35480) = 1258582040
Least Common Multiple (LCM) of 35473 and 35480 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 35473 and 35480. First we will calculate the prime factors of 35473 and 35480.
Prime Factorization of 35473
Prime factors of 35473 are 19, 1867. Prime factorization of 35473 in exponential form is:
35473 = 191 × 18671
Prime Factorization of 35480
Prime factors of 35480 are 2, 5, 887. Prime factorization of 35480 in exponential form is:
35480 = 23 × 51 × 8871
Now multiplying the highest exponent prime factors to calculate the LCM of 35473 and 35480.
LCM(35473,35480) = 191 × 18671 × 23 × 51 × 8871
LCM(35473,35480) = 1258582040
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