What is the Least Common Multiple of 73930 and 73947?
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 73930 and 73947 is 5466901710.
LCM(73930,73947) = 5466901710
Least Common Multiple of 73930 and 73947 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 73930 and 73947, than apply into the LCM equation.
GCF(73930,73947) = 1
LCM(73930,73947) = ( 73930 × 73947) / 1
LCM(73930,73947) = 5466901710 / 1
LCM(73930,73947) = 5466901710
Least Common Multiple (LCM) of 73930 and 73947 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 73930 and 73947. First we will calculate the prime factors of 73930 and 73947.
Prime Factorization of 73930
Prime factors of 73930 are 2, 5, 7393. Prime factorization of 73930 in exponential form is:
73930 = 21 × 51 × 73931
Prime Factorization of 73947
Prime factors of 73947 are 3, 157. Prime factorization of 73947 in exponential form is:
73947 = 31 × 1572
Now multiplying the highest exponent prime factors to calculate the LCM of 73930 and 73947.
LCM(73930,73947) = 21 × 51 × 73931 × 31 × 1572
LCM(73930,73947) = 5466901710
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