What is the Least Common Multiple of 95767 and 95787?
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 95767 and 95787 is 9173233629.
LCM(95767,95787) = 9173233629
Least Common Multiple of 95767 and 95787 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 95767 and 95787, than apply into the LCM equation.
GCF(95767,95787) = 1
LCM(95767,95787) = ( 95767 × 95787) / 1
LCM(95767,95787) = 9173233629 / 1
LCM(95767,95787) = 9173233629
Least Common Multiple (LCM) of 95767 and 95787 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 95767 and 95787. First we will calculate the prime factors of 95767 and 95787.
Prime Factorization of 95767
Prime factors of 95767 are 7, 13681. Prime factorization of 95767 in exponential form is:
95767 = 71 × 136811
Prime Factorization of 95787
Prime factors of 95787 are 3, 29, 367. Prime factorization of 95787 in exponential form is:
95787 = 32 × 291 × 3671
Now multiplying the highest exponent prime factors to calculate the LCM of 95767 and 95787.
LCM(95767,95787) = 71 × 136811 × 32 × 291 × 3671
LCM(95767,95787) = 9173233629
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