What is the Least Common Multiple of 9453 and 9467?
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 9453 and 9467 is 89491551.
LCM(9453,9467) = 89491551
Least Common Multiple of 9453 and 9467 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9453 and 9467, than apply into the LCM equation.
GCF(9453,9467) = 1
LCM(9453,9467) = ( 9453 × 9467) / 1
LCM(9453,9467) = 89491551 / 1
LCM(9453,9467) = 89491551
Least Common Multiple (LCM) of 9453 and 9467 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 9453 and 9467. First we will calculate the prime factors of 9453 and 9467.
Prime Factorization of 9453
Prime factors of 9453 are 3, 23, 137. Prime factorization of 9453 in exponential form is:
9453 = 31 × 231 × 1371
Prime Factorization of 9467
Prime factors of 9467 are 9467. Prime factorization of 9467 in exponential form is:
9467 = 94671
Now multiplying the highest exponent prime factors to calculate the LCM of 9453 and 9467.
LCM(9453,9467) = 31 × 231 × 1371 × 94671
LCM(9453,9467) = 89491551
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