What is the Least Common Multiple of 87791 and 87801?
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 87791 and 87801 is 7708137591.
LCM(87791,87801) = 7708137591
Least Common Multiple of 87791 and 87801 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 87791 and 87801, than apply into the LCM equation.
GCF(87791,87801) = 1
LCM(87791,87801) = ( 87791 × 87801) / 1
LCM(87791,87801) = 7708137591 / 1
LCM(87791,87801) = 7708137591
Least Common Multiple (LCM) of 87791 and 87801 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 87791 and 87801. First we will calculate the prime factors of 87791 and 87801.
Prime Factorization of 87791
Prime factors of 87791 are 11, 23, 347. Prime factorization of 87791 in exponential form is:
87791 = 111 × 231 × 3471
Prime Factorization of 87801
Prime factors of 87801 are 3, 7, 37, 113. Prime factorization of 87801 in exponential form is:
87801 = 31 × 71 × 371 × 1131
Now multiplying the highest exponent prime factors to calculate the LCM of 87791 and 87801.
LCM(87791,87801) = 111 × 231 × 3471 × 31 × 71 × 371 × 1131
LCM(87791,87801) = 7708137591
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