What is the Least Common Multiple of 70877 and 70883?
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 70877 and 70883 is 5023974391.
LCM(70877,70883) = 5023974391
Least Common Multiple of 70877 and 70883 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 70877 and 70883, than apply into the LCM equation.
GCF(70877,70883) = 1
LCM(70877,70883) = ( 70877 × 70883) / 1
LCM(70877,70883) = 5023974391 / 1
LCM(70877,70883) = 5023974391
Least Common Multiple (LCM) of 70877 and 70883 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 70877 and 70883. First we will calculate the prime factors of 70877 and 70883.
Prime Factorization of 70877
Prime factors of 70877 are 70877. Prime factorization of 70877 in exponential form is:
70877 = 708771
Prime Factorization of 70883
Prime factors of 70883 are 73, 971. Prime factorization of 70883 in exponential form is:
70883 = 731 × 9711
Now multiplying the highest exponent prime factors to calculate the LCM of 70877 and 70883.
LCM(70877,70883) = 708771 × 731 × 9711
LCM(70877,70883) = 5023974391
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